Add to ORKGTait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges of any planar, three-regular, two-edge-connected graph. Not surprisingly, this equivalent problem proved to be equally difficult. We consider the problem of fractional colorings, which resemble ordinary colorings but allow for some degree of cheating. Happily, it is known that every planar three-regular, two-edge-connected graph is fractionally three-edge-colorable. Is there an analogue to Tait’s Theorem which would allow us to derive the Fractional Four Color Theo
The Four Color Theorem is equivalent with its dual form stating that each 2-edge-connected 3-regular...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
M.Sc.Within the field of Graph Theory the many ways in which graphs can be coloured have received a ...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
AbstractGraph coloring for 3-colorable graphs receives very much attention by many researchers in th...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
In the first partial result toward Steinberg's now-disproved three coloring conjecture, Abbott and Z...
A recent lower bound on the number of edges in a k-critical n-vertex graph by Kostochka and Yancey y...
AbstractTriangle-free graphs of order n with minimum degree exceeding n/3 satisfy strong structural ...
AbstractLet D be a disc, and let X be a finite subset of points on the boundary of D. An essential p...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
Includes bibliographical references (page 43)The main purpose of this paper is to investigate the co...
A graph G is uniquely k-colourable if the chromatic number of G is k and G has only one k-colouring ...
We study the following problem: given a real number k and an integer d, what is the smallest ε such ...
The Four Color Theorem is equivalent with its dual form stating that each 2-edge-connected 3-regular...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
M.Sc.Within the field of Graph Theory the many ways in which graphs can be coloured have received a ...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
AbstractGraph coloring for 3-colorable graphs receives very much attention by many researchers in th...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
In the first partial result toward Steinberg's now-disproved three coloring conjecture, Abbott and Z...
A recent lower bound on the number of edges in a k-critical n-vertex graph by Kostochka and Yancey y...
AbstractTriangle-free graphs of order n with minimum degree exceeding n/3 satisfy strong structural ...
AbstractLet D be a disc, and let X be a finite subset of points on the boundary of D. An essential p...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
Includes bibliographical references (page 43)The main purpose of this paper is to investigate the co...
A graph G is uniquely k-colourable if the chromatic number of G is k and G has only one k-colouring ...
We study the following problem: given a real number k and an integer d, what is the smallest ε such ...
The Four Color Theorem is equivalent with its dual form stating that each 2-edge-connected 3-regular...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
M.Sc.Within the field of Graph Theory the many ways in which graphs can be coloured have received a ...